Topological string partition functions as polynomials

Topological string partition functions as polynomials
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DOI:
10.1088/1126-6708/2004/07/047
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发表时间:
2004-06
影响因子:
5.4
通讯作者:
S. Yamaguchi;S. Yau
S. Yamaguchi;S. Yau
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
S. Yamaguchi;S. Yau

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研究了五次超曲面上高亏格拓扑弦振幅的结构。证明了亏格大于1的配分函数可以表示为五个生成元的多项式。我们还计算了亏格2,3和4的配分函数的显式多项式形式。此外,一些系数写下来的所有亏格。
We investigate the structure of the higher genus topological string amplitudes on the quintic hypersurface. It is shown that the partition functions of the higher genus than one can be expressed as polynomials of five generators. We also compute the explicit polynomial forms of the partition functions for genus 2, 3, and 4. Moreover, some coefficients are written down for all genus.